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Glassiness and constrained dynamics of a short-range non-disordered spin model | | Juan P. Garrahan
; M.E.J. Newman
; | | Date: |
24 Jul 2000 | | Journal: | Phys. Rev. E 62, 7670-7678 (2000) | | Subject: | Disordered Systems and Neural Networks; Statistical Mechanics | cond-mat.dis-nn cond-mat.stat-mech | | Abstract: | We study the low temperature dynamics of a two dimensional short-range spin system with uniform ferromagnetic interactions, which displays glassiness at low temperatures despite the absence of disorder or frustration. The model has a dual description in terms of free defects subject to dynamical constraints, and is an explicit realization of the ``hierarchically constrained dynamics’’ scenario for glassy systems. We give a number of exact results for the statics of the model, and study in detail the dynamical behaviour of one-time and two-time quantities. We also consider the role played by the configurational entropy, which can be computed exactly, in the relation between fluctuations and response. | | Source: | arXiv, cond-mat/0007372 | | Services: | Forum | Review | PDF | Favorites | |
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